249013681920 has 576 divisors, whose sum is σ = 908615232000. Its totient is φ = 64553877504.

The previous prime is 249013681919. The next prime is 249013681951. The reversal of 249013681920 is 29186310942.

249013681920 is a `hidden beast` number, since 2 + 490 + 13 + 68 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197786251 + ... + 197787509.

It is an arithmetic number, because the mean of its divisors is an integer number (1577457000).

Almost surely, 2^249013681920 is an apocalyptic number.

249013681920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249013681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454307616000).

249013681920 is an abundant number, since it is smaller than the sum of its proper divisors (659601550080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249013681920 is a wasteful number, since it uses less digits than its factorization.

249013681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 249013681920 in words is "two hundred forty-nine billion, thirteen million, six hundred eighty-one thousand, nine hundred twenty".